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Finding the Fourth Proportional to 547,925.72, 820,559.94 and 378,971.86

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Solution

The fourth proportional to 547,925.72, 820,559.94 and 378,971.86 is: 567,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,925.72 : 820,559.94 = 378,971.86 : x
  2. Step 2: Convert to fraction form
    547,925.72/820,559.94 = 378,971.86/x
  3. Step 3: Cross multiply
    547,925.72x = 820,559.94 × 378,971.86
  4. Step 4: Simplify right side
    547,925.72x = 310,969,126,703.29
  5. Step 5: Solve for x
    x = 310,969,126,703.29/547,925.72
  6. Step 6: Final answer
    x = 567,538.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.